Twisted conjugacy classes in nilpotent groups

V. Roman'kov

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arXiv · 0903.3455

Twisted conjugacy classes in nilpotent groups

V. Roman'kov

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Abstract

Let $N$ be a finitely generated nilpotent group. Algorithm is constructed such, that for every automorphism $\phi \in Aut(N)$ defines the Reidemeister number $R(\phi).$ It is proved that any free nilpotent group of rank $r = 2$ or $r = 3$ and class $c \geq 4r,$ or rank $r \geq 4$ and class $c \geq 2r,$ belongs to the class $R_{\infty}.$

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V. Roman'kov. 2009-03-20. Twisted conjugacy classes in nilpotent groups. https://arxiv.org/abs/0903.3455

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